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Finding the Fourth Proportional to 2,003.32, 2,764.62 and 1,217.20

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Solution

The fourth proportional to 2,003.32, 2,764.62 and 1,217.20 is: 1,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.32 : 2,764.62 = 1,217.20 : x
  2. Step 2: Convert to fraction form
    2,003.32/2,764.62 = 1,217.20/x
  3. Step 3: Cross multiply
    2,003.32x = 2,764.62 × 1,217.20
  4. Step 4: Simplify right side
    2,003.32x = 3,365,095.46
  5. Step 5: Solve for x
    x = 3,365,095.46/2,003.32
  6. Step 6: Final answer
    x = 1,679.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.